This is not rich snippets. This is something called site links, and there is no way for you to control it. it is entirely up to the search engine whether, and how, they display results in this way.
Rich snippets is different. With rich snippets, the search engines display specific information from your site along with the search results. Typically this might be a rating for a restaurant or hotel, or the ingredients in a recipe. This sort of information is clearly useful to searchers, although I'm personally not convinced of their value to webmasters and bloggers.
I don't know of any rich snippet tool specific to blogger, but it's quite easy to add rich snippets manually, assuming you have some knoweldge of HTML. This page will give you what you need to get started: https://support.google.com/webmasters/answer/176035.
The above page refers to microdata, which is one of several methods of adding rich snippet mark-up to your content (it's the one I've used). For information about the other methods, and some more examples of how rich snippets look in search results, see https://support.google.com/webmasters/answer/99170?hl=en